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120032123304112 = 241723313259189913
BaseRepresentation
bin11011010010101100101000…
…000100100011100010110000
3120201222221220001102221222121
4123102230220010203202300
5111213101242031212422
61103141555102444024
734166014624600045
oct3322545004434260
9521887801387877
10120032123304112
1135278379413028
1211567043293614
1351c8c9967bc26
14218d82b4ad1cc
15dd249e89b8c7
hex6d2b281238b0

120032123304112 has 160 divisors (see below), whose sum is σ = 265320007004160. Its totient is φ = 52270588846080.

The previous prime is 120032123304017. The next prime is 120032123304151. The reversal of 120032123304112 is 211403321230021.

It is a super-2 number, since 2×1200321233041122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631942468 + ... + 632132380.

It is an arithmetic number, because the mean of its divisors is an integer number (1658250043776).

Almost surely, 2120032123304112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120032123304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132660003502080).

120032123304112 is an abundant number, since it is smaller than the sum of its proper divisors (145287883700048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120032123304112 is a wasteful number, since it uses less digits than its factorization.

120032123304112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193251 (or 193245 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 120032123304112 its reverse (211403321230021), we get a palindrome (331435444534133).

The spelling of 120032123304112 in words is "one hundred twenty trillion, thirty-two billion, one hundred twenty-three million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 23 31 34 46 62 68 92 124 136 184 248 272 368 391 496 527 713 782 1054 1426 1564 2108 2852 3128 3259 4216 5704 6256 6518 8432 11408 12121 13036 24242 26072 48484 52144 55403 74957 96968 101029 110806 149914 189913 193936 202058 221612 299828 379826 404116 443224 599656 759652 808232 886448 1199312 1274269 1519304 1616464 1717493 2323667 2548538 3038608 3228521 3434986 4367999 4647334 5097076 5887303 6457042 6869972 8735998 9294668 10194152 11774606 12914084 13739944 17471996 18589336 20388304 23549212 25828168 27479888 34943992 37178672 39502339 47098424 51656336 69887984 74255983 79004678 94196848 100084151 135407969 148511966 158009356 200168302 270815938 297023932 316018712 400336604 541631876 594047864 618926467 632037424 800673208 1083263752 1188095728 1237852934 1601346416 2166527504 2301935473 2475705868 4603870946 4951411736 9207741892 9902823472 10521749939 14235308741 18415483784 19186720477 21043499878 28470617482 36830967568 38373440954 42086999756 56941234964 76746881908 84173999512 113882469928 153493763816 168347999024 227764939856 242000248597 306987527632 326174248109 441294570971 484000497194 652348496218 882589141942 968000994388 1304696992436 1765178283884 1936001988776 2609393984872 3530356567768 3872003977552 5218787969744 7060713135536 7502007706507 15004015413014 30008030826028 60016061652056 120032123304112